تم الحل ✓
categoryرياضيات
schoolبكالوريوس
event_available2026-07-14
السؤال
Transcribed Image Text:
Number of Voters
T
(a) How many people voted?
1st choice
2nd choice
3rd choice
4th choice
33 25 22 14
D A
C C
B
A
A
B
C
B D Ꭰ
D
A B C
(b) Which candidate, if any, has a majority? Explain your answer.
(c) Which candidate wins if Plurality is used to choose the winner?
(d) Which candidate wins if Borda Count is used to choose the winner?
(e) Which candidate wins if Plurality with Elimination is used to choose the winner?
(f) Which candidate wins if pairwise comparison is used to choose the winner?
(g) Is there a Condorcet candidate? If so, who, and if not, why not?
(h) Does this preference schedule demonstrate that the Condorcet criterion is violated? Explain your
answer.
(i) After everyone votes but before the results are announced Adam withdraws from the race. Now
who wins using plurality? Is a fairness criteria violated? Explain.
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